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Finding the Fourth Proportional to 5,584.90, 8,374.92 and 2,463.30

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Solution

The fourth proportional to 5,584.90, 8,374.92 and 2,463.30 is: 3,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.90 : 8,374.92 = 2,463.30 : x
  2. Step 2: Convert to fraction form
    5,584.90/8,374.92 = 2,463.30/x
  3. Step 3: Cross multiply
    5,584.90x = 8,374.92 × 2,463.30
  4. Step 4: Simplify right side
    5,584.90x = 20,629,940.44
  5. Step 5: Solve for x
    x = 20,629,940.44/5,584.90
  6. Step 6: Final answer
    x = 3,693.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.